What is the Least Common Multiple of 27675 and 27684?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 27675 and 27684 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27675 and 27684, than apply into the LCM equation.

GCF(27675,27684) = 9
LCM(27675,27684) = ( 27675 × 27684) / 9
LCM(27675,27684) = 766154700 / 9
LCM(27675,27684) = 85128300

Least Common Multiple (LCM) of 27675 and 27684 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27675 and 27684. First we will calculate the prime factors of 27675 and 27684.

Prime Factorization of 27675

Prime Factorization of 27684

Now multiplying the highest exponent prime factors to calculate the LCM of 27675 and 27684.

LCM(27675,27684) = 3³ × 5² × 41¹ × 2² × 769¹
LCM(27675,27684) = 85128300